Nancy is making lemonade for her birthday party. She made 6 batches. Each batch of lemonade uses 24 fluid ounces of lemon juice and 8 pints of water. If each serving is 1 cup, how many servings did she make all together?

Right after she finished making the lemonade, her brother came and spilled half of it on the floor. How many servings did she have left after that for her party?

Step-by-step explanation:

1 Us pint = 16 Us fluid ounces

It means that 8 pints of water would be

8 * 16 = 128 fluid ounces

Each batch of lemonade uses 24 fluid ounces of lemon juice and 8 pints of water. The total number of fluid ounces in each batch is

128 + 24 = 152 fluid ounces

Also,

1 fluid ounce = 0.125 Us cups

Therefore, the number of cups made is

152 * 0.125 = 19 cups

If each serving is 1 cup, then the number of servings that she made from each batch of lemonade is 19

servings. The number of batches made is 6. Therefore, the number of servings made altogether is

6 * 19 = 114

If her brother came and spilled half of it on the floor, then the number of servings that she have left after that for her party is

114/2 = 57 servings